Explanation Given information: Total number of seats is 82 and population of four states is as follows: State: A B C D E Population: 300 700 800 800 701 . All these populations are in thousands. Total population of four states is 300 + 700 + 800 + 800 + 701 = 3 , 301 thousand. Total number of seats is 82 . Therefore, the standard divisor d = 3 , 301 82 = 40.2561 Now, divide the population of each state by the standard divisor ( d = 40.2561 ) to get the standard quota ( q ) for each state. Then, round the standard quotas down to the nearest integer, but each state gets at least one seat Therefore, the number of seats assigned to each state is as follows: States Population Standard Quota, q Lower Quota A 300 300 40.2561 = 7.4523 7 B 700 700 40.2561 = 17.3887 17 C 800 800 40.2561 = 19.8728 19 D 800 800 40.2561 = 19.8728 19 E 701 701 40.2561 = 17.4135 17 Total 79 Here, the total number of seats is 82 and the total of the lower quota is 79 , that is three seats do not assign to any state. According to the Hamilton’s plan, give any additional seats, one at a time to the states with the largest fractional parts of their standard quotas. Since, the fraction part of states C , D , and A are larger than any other states, one seat is assigned to each state. Therefore, the number of seats assigned for each state according to the Hamilton’s plan is as follows: States Population Lower Quota Hamilton's Plan A 300 7 8 B 700 17 17 C 800 19 20 D 800 19 20 E 701 17 17 Total 79 82 Now, increase the number of seats by one, so the total number of seats becomes 83 Therefore, the new standard divisor d = 3 , 301 83 = 39

13th Edition

ISBN: 9780357127193

Author: SMITH

Publisher: CENGAGE L

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Chapter 17.4, Problem 18PS

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Whether the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment.

State: A B C DEPopulation:300700800800701

Total number of seats is 82.

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Chapter 17.4, Problem 17PS

Chapter 17.4, Problem 19PS

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Whether the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment. State: A B C D E Population: 300 700 800 800 701 Total number of seats is 82 .

Solution Summary: The author explains that the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment.

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Whether the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment.

State: A B C DEPopulation:300700800800701

Total number of seats is 82.

Want to see the full answer?

Chapter 17 Solutions

Whether the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment. State: A B C D E Population: 300 700 800 800 701 Total number of seats is 82 .

Solution Summary: The author explains that the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment.

Concept explainers

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Whether the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment. State: A B C DEPopulation:300700800800701 Total number of seats is 82.

Want to see the full answer?

Chapter 17 Solutions

Whether the Alabama paradox occurs when the number of seats increases by one according to the Hamilton’s plan for the following apportionment.

State: A B C DEPopulation:300700800800701

Total number of seats is 82.